Question 1

The sample mean is the point estimator of

Accepted Answer

A) $\mu$ 
B)  $\sigma$ 
C)  $ \bar{x} $ 
D)  $ \overline{\mathrm{p}} $ 
A) $\mu$ 
B)  $\sigma$ 
C)  $ \bar{x} $ 
D)  $ \overline{\mathrm{p}} $

Question 2

Exhibit 7-2
A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores.
  
-Refer to Exhibit 7-2. The point estimate for the proportion of all students who passed the course is

Accepted Answer

A) 0.8 
B) 0.2 
C) 1.8 
D) 1.2 
A) 0.8 
B) 0.2 
C) 1.8 
D) 1.2

Question 3

The purpose of statistical inference is to provide information about the

Accepted Answer

A) sample based upon information contained in the population 
B) population based upon information contained in the sample 
C) population based upon information contained in the population 
D) mean of the sample based upon the mean of the population 
A) sample based upon information contained in the population 
B) population based upon information contained in the sample 
C) population based upon information contained in the population 
D) mean of the sample based upon the mean of the population

Question 4

There are 8,000 students at the University of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected.
a.Determine the standard error of the mean.
b.What is the probability that the sample mean will be larger than 19.5?
c.What is the probability that the sample mean will be between 25.5 and 27 years?

Accepted Answer

a.1.5
b.0.

Question 5

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken.
a.What are the expected value, standard deviation, and shape of the sampling distribution of   ?
b.What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours?
c.What is the probability that the average life in the sample will be greater than 3,219.24 hours?
d.What is the probability that the average life in the sample will be less than 3,180.96 hours?

Accepted Answer

a.3,000; 1

Question 6

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

Accepted Answer

A) 1.20 
B) 0.12 
C) 8.00 
D) 0.80 
A) 1.20 
B) 0.12 
C) 8.00 
D) 0.80

Question 7

A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

Accepted Answer

A) whenever the population is infinite 
B) whenever the sample size is more than 5% of the population size 
C) whenever the sample size is less than 5% of the population size 
D) The correction factor is not necessary if the population has a normal distribution 
A) whenever the population is infinite 
B) whenever the sample size is more than 5% of the population size 
C) whenever the sample size is less than 5% of the population size 
D) The correction factor is not necessary if the population has a normal distribution

Question 8

A simple random sample of 8 employees of a corporation provided the following information.
   
a.Determine the point estimate for the average age of all employees.
b.What is the point estimate for the standard deviation of the population?
c.Determine a point estimate for the proportion of all employees who are female.

Accepted Answer

The answer of A simple random sample of 8 employees...

Question 9

The following information was collected from a simple random sample of a population.   The point estimate of the mean of the population is

Accepted Answer

A) 18.0 
B) 19.6 
C) 108 
D) sixteen, since 16 is the smallest value in the sample 
A) 18.0 
B) 19.6 
C) 108 
D) sixteen, since 16 is the smallest value in the sample

Question 10

The probability distribution of the sample mean is called the

Accepted Answer

A) central probability distribution 
B) sampling distribution of the mean 
C) random variation 
D) standard error 
A) central probability distribution 
B) sampling distribution of the mean 
C) random variation 
D) standard error

Question 11

The milk prices (in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below.
   
a.What is the point estimate for the prices of all convenience stores in Chattanooga?
b.What is the point estimate for the standard deviation of the population?

Accepted Answer

The answer of The milk prices (in quarts) from a...

Question 12

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

Accepted Answer

A) 0.8633 
B) 0.6900 
C) 0.0819 
D) 0.0345 
A) 0.8633 
B) 0.6900 
C) 0.0819 
D) 0.0345

Question 13

An automotive repair shop has determined that the average service time on an automobile is 2 hours with a standard deviation of 32 minutes. A random sample of 64 services is selected.
a.What is the probability that the sample of 64 will have a mean service time greater than 114 minutes?
b.Assume the population consists of 400 services. Determine the standard error of the mean.

Accepted Answer

The answer of An automotive repair shop has determined that...

Question 14

In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.
a.Compute the standard error of the proportion.
b.What is the probability that the sample contains at least 12 business majors?
c.What is the probability that the sample contains less than 15 business majors?
d.What is the probability that the sample contains between 12 and 14 business majors?

Accepted Answer

a.0.04
b.0

Question 15

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are

Accepted Answer

A) 8.7 and 1.94 
B) 36 and 1.94 
C) 36 and 1.86 
D) 36 and 8 
A) 8.7 and 1.94 
B) 36 and 1.94 
C) 36 and 1.86 
D) 36 and 8

Question 16

Consider a population of five weights identical in appearance but weighing 1, 3, 5, 7, and 9 ounces.
a.Determine the mean and the variance of the population.
b.Sampling without replacement from the above population with a sample size of 2 produces ten possible samples. Using the ten sample mean values, determine the mean of the population and the variance of  
.
c.Compute the standard error of the mean.

Accepted Answer

a.5 and 8

Question 17

Which of the following is(are) point estimator(s)?

Accepted Answer

A)  $\sigma$ 
B) $\mu$ 
C) s 
D) $\alpha$ 
A)  $\sigma$ 
B) $\mu$ 
C) s 
D) $\alpha$

Question 18

The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the

Accepted Answer

A) central limit theorem 
B) fact that we have tables of areas for the normal distribution 
C) assumption that the population has a normal distribution 
D) None of these alternatives is correct. 
A) central limit theorem 
B) fact that we have tables of areas for the normal distribution 
C) assumption that the population has a normal distribution 
D) None of these alternatives is correct.

Question 19

Random samples of size 36 are taken from an infinite population whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are

Accepted Answer

A) 36 and 15 
B) 20 and 15 
C) 20 and 0.417 
D) 20 and 2.5 
A) 36 and 15 
B) 20 and 15 
C) 20 and 0.417 
D) 20 and 2.5

Question 20

A simple random sample of 6 recent graduates revealed the following information about their weekly incomes.
   
a.What is the expected value of the average weekly income of all the recent graduates?
b.What is the expected value of the standard deviation for the population?

Accepted Answer

The answer of A simple random sample of 6 recent...

The sample mean is the point estimator of

Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores. -Refer to Exhibit 7-2. The point estimate for the proportion of all students who passed the course is

The purpose of statistical inference is to provide information about the

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

The following information was collected from a simple random sample of a population. The point estimate of the mean of the population is

The probability distribution of the sample mean is called the

The milk prices (in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below. a.What is the point estimate for the prices of all convenience stores in Chattanooga? b.What is the point estimate for the standard deviation of the population?

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are

Which of the following is(are) point estimator(s)?

The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the

Random samples of size 36 are taken from an infinite population whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are

A simple random sample of 6 recent graduates revealed the following information about their weekly incomes. a.What is the expected value of the average weekly income of all the recent graduates? b.What is the expected value of the standard deviation for the population?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

Exam 7: Sampling and Sampling Distributions

The sample mean is the point estimator of

Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores. -Refer to Exhibit 7-2. The point estimate for the proportion of all students who passed the course is

The purpose of statistical inference is to provide information about the

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

The following information was collected from a simple random sample of a population. The point estimate of the mean of the population is

The probability distribution of the sample mean is called the

The milk prices (in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below. a.What is the point estimate for the prices of all convenience stores in Chattanooga? b.What is the point estimate for the standard deviation of the population?

A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are

Which of the following is(are) point estimator(s)?

The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the

Random samples of size 36 are taken from an infinite population whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are

A simple random sample of 6 recent graduates revealed the following information about their weekly incomes. a.What is the expected value of the average weekly income of all the recent graduates? b.What is the expected value of the standard deviation for the population?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters